1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)T. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columnRadings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.

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Chapter1: Introduction
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**Lesson on Implementing Boolean Expressions with Logic Gates**

1. **Circuit Diagram using Basic Logic Gates**

   - Create a circuit using 2-input basic AND, OR, and NOT gates.
   - **Task**: Implement the Boolean expression: \( (A + B)'\overline{C} \).
   - Draw the circuit: Begin by connecting inputs A and B to an OR gate. The output of this OR gate is then passed into a NOT gate. Input C is connected directly. Finally, the output of the NOT gate is combined with input C using an AND gate to complete the circuit representing the expression \( (A + B)'\overline{C} \).
   - **Challenge**: Implement the Boolean expression \( (AB)(BC) \) using similar logic gates. Draw the circuit following the pattern shown in your textbook or class materials.

   **Diagram Explanation**:
   - The diagram consists of three logic gates: OR, NOT, and AND.
   - Inputs A and B enter the OR gate.
   - The OR gate’s output is inverted through the NOT gate.
   - The NOT gate’s output and input C are fed into the AND gate, delivering the final output.

2. **Constructing the Truth Table**

   - Use a Word table tool to create a truth table for the above circuit.
   - Ensure to include intermediate values to track each step.
   - Insert column headings in the first row and display standard Boolean logic symbols using the Insert > Equation tool.
   - The table should reflect all possible input combinations for A, B, and C, and their resulting outputs from each gate step by step, culminating in the final output from the AND gate.

**Objective:**
- Understand how to translate Boolean expressions into logic circuits.
- Practice constructing truth tables to verify circuit logic.
Transcribed Image Text:**Lesson on Implementing Boolean Expressions with Logic Gates** 1. **Circuit Diagram using Basic Logic Gates** - Create a circuit using 2-input basic AND, OR, and NOT gates. - **Task**: Implement the Boolean expression: \( (A + B)'\overline{C} \). - Draw the circuit: Begin by connecting inputs A and B to an OR gate. The output of this OR gate is then passed into a NOT gate. Input C is connected directly. Finally, the output of the NOT gate is combined with input C using an AND gate to complete the circuit representing the expression \( (A + B)'\overline{C} \). - **Challenge**: Implement the Boolean expression \( (AB)(BC) \) using similar logic gates. Draw the circuit following the pattern shown in your textbook or class materials. **Diagram Explanation**: - The diagram consists of three logic gates: OR, NOT, and AND. - Inputs A and B enter the OR gate. - The OR gate’s output is inverted through the NOT gate. - The NOT gate’s output and input C are fed into the AND gate, delivering the final output. 2. **Constructing the Truth Table** - Use a Word table tool to create a truth table for the above circuit. - Ensure to include intermediate values to track each step. - Insert column headings in the first row and display standard Boolean logic symbols using the Insert > Equation tool. - The table should reflect all possible input combinations for A, B, and C, and their resulting outputs from each gate step by step, culminating in the final output from the AND gate. **Objective:** - Understand how to translate Boolean expressions into logic circuits. - Practice constructing truth tables to verify circuit logic.
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